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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 707 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.12345679 × 18 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 9 =
  5. 5.12 × 9 + 3 =
  6. 6.111 × 111 =
  7. 7.123 × 9 + 4 =
  8. 8.11 × 11 =
  9. 9.11111 × 11111 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 72 =
  12. 12.37 × 21 =
  13. 13.12345679 × 36 =
  14. 14.123 × 8 + 3 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 54 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345 × 9 + 6 =
  19. 19.123456 × 8 + 6 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12 × 8 + 2 =
  23. 23.1234 × 8 + 4 =
  24. 24.37 × 27 =
  25. 25.12345679 × 45 =
  26. 26.37 × 18 =
  27. 27.37 × 15 =
  28. 28.37 × 3 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 24 =
  31. 31.12345679 × 63 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345 × 8 + 5 =
  34. 34.12345679 × 81 =
  35. 35.11 × 11 =
  36. 36.111111 × 111111 =
  37. 37.37 × 9 =
  38. 38.1234567 × 8 + 7 =
  39. 39.37 × 6 =
  40. 40.37 × 12 =

Answer key

  1. 222222222
  2. 1234321
  3. 333333333
  4. 111111111
  5. 111
  6. 12321
  7. 1111
  8. 121
  9. 123454321
  10. 12345654321
  11. 888888888
  12. 777
  13. 444444444
  14. 987
  15. 111111111
  16. 666666666
  17. 987654321
  18. 111111
  19. 987654
  20. 11111
  21. 98765432
  22. 98
  23. 9876
  24. 999
  25. 555555555
  26. 666
  27. 555
  28. 111
  29. 9876543
  30. 888
  31. 777777777
  32. 1111111
  33. 98765
  34. 999999999
  35. 121
  36. 12345654321
  37. 333
  38. 9876543
  39. 222
  40. 444

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